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arxiv: 1201.2446 · v2 · pith:ZYPSNDMYnew · submitted 2012-01-12 · 🧮 math.SG

On an exotic Lagrangian torus in mathbb{C}P²

classification 🧮 math.SG
keywords lagrangiantorusansweringcertainentovexoticfiberfind
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We find a non-displaceable Lagrangian torus fiber in a semi-toric system, which is superheavy with respect to certain symplectic quasi-state. In particular, this proves Lagrangian $\RR P^2$ is not a stem in $\CC P^2$, answering a question of Entov and Polterovich.

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